Question

The volume of CO2 that contains the same

number of molecules as in 5 gm of CH4 is

(STP)


1) 3L of CO2
2) 5L of CO2

3) 7L of CO2
4) 9L of CO2​

Answer 1

To find:

The volume of CO2 that contains the same number of molecules as in 5 gm of CH4 is ? ( at STP )

Calculation:

Number of moles of CH4 (methane):

$\rm \therefore \: moles \: of \: methane = \dfrac{5}{12 + 4(1)}$

$\rm \implies \: moles \: of \: methane = \dfrac{5}{16}$

$\rm \implies \: moles \: of \: methane = 0.3125$

Now , number of molecules of CH4:

$\rm \implies \: molecules \: of \: methane = 0.3125N_{A}$

This number of molecules is also there in CO2(carbon dioxide):

$\rm \therefore \: molecules \: of \: CO_{2} = 0.3125N_{A}$

$\rm \implies \: moles \: of \: CO_{2} = \dfrac{0.3125N_{A}}{N_{A}}$

$\rm \implies \: moles \: of \: CO_{2} = 0.3125$

At STP , 1 mole of CO2 has 22.4 Litres :

$\rm \implies \: volume \: of \: CO_{2} = 0.3125 \times 22.4$

$\rm \implies \: volume \: of \: CO_{2} = 7 \: litre$

So, volume of CO2 is 7 litres.

Answer 2

Answer:

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